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Finding the Fourth Proportional to 3,981.93, 5,973.86 and 1,208.44

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Solution

The fourth proportional to 3,981.93, 5,973.86 and 1,208.44 is: 1,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.93 : 5,973.86 = 1,208.44 : x
  2. Step 2: Convert to fraction form
    3,981.93/5,973.86 = 1,208.44/x
  3. Step 3: Cross multiply
    3,981.93x = 5,973.86 × 1,208.44
  4. Step 4: Simplify right side
    3,981.93x = 7,219,057.34
  5. Step 5: Solve for x
    x = 7,219,057.34/3,981.93
  6. Step 6: Final answer
    x = 1,812.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.